CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions1. Number1.8 Working with FDP

Syllabus Edition

First teaching 2021

Last exams 2024

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1.8 Working with FDP

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1
Sme Calculator1 mark

Here is a list of numbers.

Put a ring around the number with the largest value.


0.3030  1 third  0.0330    begin mathsize 16px style 3 over 10 end style  33% 

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2
Sme Calculator4 marks

Mr Mason asks 240 Year 11 students what they want to do next year.

15% of the students want to go to college.

3 over 4 of the students want to stay at school.

The rest of the students do not know.

Work out the number of students who do not know.

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3
Sme Calculator2 marks

Sasha takes a music exam.

The table shows the result that Sasha can get for different percentages in her music exam.

Percentage Result
50% - 69% Pass
70% - 84% Merit
85% - 100% Distinction


Sasha gets 62 out of 80 in her music exam.

What result does Sasha get?
You must show your working.

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4
Sme Calculator2 marks

Karen got 32 out of 80 in a maths test.
She got 38% in an English test.

Karen wants to know if she got a higher percentage in maths or in English.

Did Karen get a higher percentage in maths or in English?

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5
Sme Calculator4 marks

Celina and Zoe both sing in a band.

One evening the band plays for 80 minutes.
Celina sings for 65% of the 80 minutes.

Zoe sings for 5 over 8 of the 80 minutes.

Celina sings for more minutes than Zoe sings.

Work out for how many more minutes.
You must show all your working.

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6
Sme Calculator2 marks

Prove algebraically that the recurring decimal 0.2 5 with bullet on top has the value 23 over 90

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7
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Show that the recurring decimal 0.1 7 with bullet on top space equals space 8 over 45

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8
Sme Calculator2 marks

Use algebra to show that the recurring decimal 0.3 8 with bullet on top space equals space 7 over 18

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9
Sme Calculator2 marks

Use algebra to show that the recurring decimal 0.2 stack 6 with dot on top with bullet on top space equals space 4 over 15

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1
Sme Calculator3 marks

Write the recurring decimal 0.1 7 with dot on top as a fraction in its simplest form.
You must show all your working.

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2
Sme Calculator2 marks

Write the recurring decimal 0.2 6 with dot on top as a fraction.
You must show all your working.

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3
Sme Calculator2 marks

Write the recurring decimal 0.3 2 with dot on top as a fraction.
You must show all your working.

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4
Sme Calculator2 marks

Write the recurring decimal 0.6 7 with dot on top as a fraction.
Show all your working and give your answer in its simplest form.

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5
Sme Calculator2 marks

Write the recurring decimal 0.4 7 with dot on top as a fraction.
Show all your working.

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6
Sme Calculator1 mark

Write the recurring decimal 0.7 with dot on top as a fraction. 

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7
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Write the recurring decimal 0.2 with dot on top 3 with dot on top as a fraction.

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8
Sme Calculator2 marks

Change the recurring decimal 0.1 8 with dot on top to a fraction.
You must show all your working.

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9
Sme Calculator1 mark

Write the recurring decimal 0.6 with dot on top 3 with dot on top as a fraction.

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10
Sme Calculator1 mark

Write the recurring decimal 0.8 with dot on top as a fraction.

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1
Sme Calculator3 marks
i)
Kristian has $72 and spends 45% of this on a computer game.
    
Calculate the price of the computer game.
 

 $ ...............................................  [1]

ii)
Kristian also buys a meal for $8.40.
  
Calculate the fraction of the $72 Kristian has left after buying the computer game and the meal.
Give your answer in its lowest terms.

[2]

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2
Sme Calculator3 marks

Dev makes 600 cakes.
18% of the 600 cakes go to a hotel and 2 over 3 of the 600 cakes go to a supermarket.

Calculate how many cakes he has left.

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3
Sme Calculator4 marks

Mr Brown and his 2 children are going to London by train.

An adult ticket costs £24
A child ticket costs £12

Mr Brown has a Family Railcard.

Family Railcard gives

1 third off adult tickets

60% off child tickets


Work out the total cost of the tickets when Mr Brown uses his Family Railcard.

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4
Sme Calculator2 marks

Write these numbers in order of size.
Start with the smallest number.

0.2 4 with bullet on top 6 with bullet on top space space space space space space space space space space space space space space space space space space space space space 0.24 6 with bullet on top space space space space space space space space space space space space space space space space space space space space space space space space 0.2 with bullet on top 4 6 with bullet on top space space space space space space space space space space space space space space space space space space space space 0.246

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5
Sme Calculator3 marks

Prove that the recurring decimal 0.3 with bullet on top 6 with bullet on top equals space 4 over 11

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6
Sme Calculator2 marks

Show that the recurring decimal 0.3 with bullet on top 9 6 with bullet on top space equals space 44 over 111

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7
Sme Calculator2 marks

Use algebra to show that the recurring decimal 0. space 4 with bullet on top 1 7 with bullet on top space equals space 139 over 333

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8
Sme Calculator4 marks

James is taking three examination papers in Spanish.
Here are his first two results.

Paper 1:   43 over 80         Paper 2:   38 over 65

Paper 3 is out of 95.
The marks in each of the three papers are added together.

Find the lowest mark that James needs in Paper 3 to achieve 60% of the total marks.

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9a
Sme Calculator3 marks

Without using a calculator, show that 0.1 with bold dot on top 9 with bold dot on top o can be written as 19 over 99.

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9b
Sme Calculator2 marks

Explain how 19 over 99 space equals space 0.1 with bold dot on top 9 with bold dot on top can be used to find 19 over 990 as a decimal and write down its value.

19 over 990 = ...............

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